Holevo information and ensemble theory of gravity

Journal Article · 07 February 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep02(2022)056 · OSTI ID:1976447

Qi, Xiao-Liang ^[1]; Shangnan, Zhou ^[2]; Yang, Zhenbin ^[2]

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1. Stanford University, CA (United States); Stanford Univ., CA (United States)
2. Stanford University, CA (United States)

Holevo information is an upper bound for the accessible classical information of an ensemble of quantum states. In this work, we use Holevo information to investigate the ensemble theory interpretation of quantum gravity. We study the Holevo information in random tensor network states, where the random parameters are the random tensors at each vertex. Based on the results in random tensor network models, we propose a conjecture on the holographic bulk formula of the Holevo information in the gravity case. As concrete examples of holographic systems, we compute the Holevo information in the ensemble of thermal states and thermo-field double states in the Sachdev-Ye-Kitaev model. The results are consistent with our conjecture.

• Research Organization: Stanford University, CA (United States); University of California, Oakland, CA (United States)
• Sponsoring Organization: National Science Foundation (NSF); Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0019380
• OSTI ID: 1976447
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2022; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English